i need help with this. 3x + 5= 35, x =

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex], then

[tex]\frac{7^{4} }{7^{-3} }[/tex] = [tex]7^{4-(-3)}[/tex]

His mistake was in subtracting 3 rather than - 3

Andre's mistake was that he was not subtracting the power correctly.

The given expression is,

[tex]\frac{7^4}{7^{-3}}[/tex]

As we know according to the exponent law:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Now, applying the above law into the given expression we get,

[tex]\frac{7^4}{7^{-3}}=7^{4-(-3)}\\ =7^{4+3}\\=7^7[/tex]

Hence, Andre's mistake was that he was not subtracting the power correctly.

Learn More about the topic Exponents:

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Answer:

0.00009 is the answer.

Step-by-step explanation:

The decimal would be 9. if 9 was a decimal, since -6 is your exponent you would move 6 places to the left with left being negative and right being positive, therefore you would get 0.00009.

The required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The given expression,
9 times 10 Superscript negative 5  = 9 × 10⁻⁵
= 9 / 10⁵
= 9 / 100000
= 0.00009

Thus, the required standard form of 9 times 10 Superscript negative 5 is 0.00009. Option D is correct.

Learn more about the number system here:

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M ( 4 , 0) and L ( - 2 , - 3)

The distance between them is

[tex] |ML| = \sqrt{( {4 + 2})^{2} +( {0 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {3}^{2} } \\ = \sqrt{36 + 9} \: \: \\ = \sqrt{45 } \: \: \: \: \: \: \: \: \: \: \\ = 3 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \\ = 6.7082039[/tex]

We have the final answer as

Hope this helps you

Answer:

[tex]a=\dfrac{3b-7}{3}[/tex]

Step-by-step explanation:

Given that,

The given equation is :

5b + 6a – 7 = 2b + 9a

We need to solve the above equation for a. Taking he terms having a and b in LHS and constants in RHS.

5b+6a-2b-9a=7

taking like terms together

(6a-9a)+(5b-2b)=7

-3a+3b=7

Subtracting both sides by 3b. So,

-3a+3b-3b=7-3b

-3a=7-3b

Dioviding both sides by (-3). So,

[tex]a=\dfrac{7-3b}{-3}\\\\a=\dfrac{3b-7}{3}[/tex]

Hence, the value of a is [tex]a=\dfrac{3b-7}{3}[/tex].

Answer:

[tex]a = \frac{3b-7}{3}[/tex]

Step-by-step explanation:

Answer:

3 1/2 inches

Answer:

2x(3y-4x)

Step-by-step explanation:

Answer:

16X-6XY

Step-by-step explanation:

8X2=16X -6XY

Answer:

x = 1/6

Step-by-step explanation:

"solve for x" would be better and clearer than "please answer."

We start the solution by subtracing 3x from both sides, obtaining

4 = 6x + 3

and then isolate the 3x term by subtracting 3 rom both sides:

6x = 1

Finally we divide both sides of this result by 6, obtaining

x = 1/6     This is the "answer" to the problem "solve 3x + 4 = 9x + 3 for x."

Answer:

(-0.75, -3.25) and (4.125, -2.125)

Step-by-step explanation:

Let the town, Thayer = point A(-4, -4)

Town Purdy = point D(9, -1).

Let B and C represent the two rest stops that divides the highway (AD) into 3 equal parts, namely: AB = BC = CD.

Distance of point B from A to D = ⅓ of AD.

Point C = the midpoint of point B and D.

First, using the formula for internal division, let's find the coordinates of point B:

Internal division to find the coordinates of point B is given as:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(-4, -4) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

[tex] m = 1, n = 3 [/tex]

Plug in the necessary values into the formula stated above to solve for x and y of point B:

[tex] x = \frac{1*9 + 3*(-4)}{1 + 3} [/tex]

[tex] x = \frac{9 - 12}{4} [/tex]

[tex] x = \frac{-3}{4} [/tex]

[tex] x = -\frac{-3}{4} = 0.75 [/tex]

[tex] y = \frac{1*(-1) + 3*(-4)}{m + n} [/tex]

[tex] y = \frac{-1 - 12}{1 + 3} [/tex]

[tex] y = \frac{-13}{4} [/tex]

[tex] y = -3.25 [/tex]

The coordinates of point B = (-0.75, -3.25)

Next, find the coordinates of point C, which is the midpoint of B(-0.75, -3.25) and D(9, -1) using the midpoint formula.

Midpoint (C) of BC, for B(-0.75, -3.25) and D(9, -1)  is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] B(-0.75, -3.25) = (x_1, y_1) [/tex]

[tex] D(9, -1) = (x_2, y_2) [/tex]

Thus:

[tex] C(\frac{-0.75 + 9}{2}, \frac{-3.25 + (-1)}{2}) [/tex]

[tex] C(\frac{8.25}{2}, \frac{-4.25}{2}) [/tex]

[tex] C(4.125, -2.125) [/tex]

The rest stops should be built at (-0.75, -3.25) and (4.125, -2.125) in the coordinate plane.

Answer:

$437.74

Step-by-step explanation:

16 x 44 = 704 -150=554 x 0.08= 554-44.32= 509.68 x 0.07= 509.68 - 35.6776 = 474 x 0.0765 = 474 - 36.261 = 437.74

Answer:

$ 394.54

Step-by-step explanation:

Sarah makes $16 and hour. She works 44 hours this week.

Optional deductions are

- $50 for health insurance and

- $100 for child care.

- Federal  taxes are 8%

- State taxes are 7% and

- FICA is 7.65%.

What is Sarah's NET  pay?

salary for a week: $16 x 44 =                   $704

deductions:

- health insurance and                             - $50

- child care.                                               - $100

- Federal  taxes are 8%  = 0.08 (704) =   - $53.32

- State taxes are 7% 0.07 (704)          =   - $49.28

- FICA is 7.65% = 0.0765 (704)          =    -$53.86

                                                                ---------------

                                                  total = $ 394.54  (net pay)

Answer:

Hi there!

Your answer is;

There were 94 big hats and 282 small hats sold!

Step-by-step explanation:

Big hats= b

Small hats= 3b

3b+ b = 376

4b = 376

/4

b= 94

3(94) = 282

Double check!

94+282= 376

Answer:

x=-2

Step-by-step explanation:

First, Distribute the 2 into the parenthesis.

2(3x+8)=4

6x+16=4

Simplify

6x+16=4

    -16  -16

6x/6= -12/6

x= -2

Hope this helps!

Answer:

$-118

Step-by-step explanation:

She owes the bank $64. She then paid the bank $25 because she owes $64. She has only paid $25 out of the $64 that she owes so you would subtract 25 from 64 and you would get 39. This means that she STILL owes the bank $39. She then charges, or uses, $79 which brought the amount she owes back up. So she used to owe $64 but then she paid $25 of the $64. She has $39 left to pay, but then she used $79 so you would add 79 and 39 because those are the two amounts of money that she owes. Integer wise, the numbers 79 and 39 would become -39 and -79. -79 and -39 added together is $-118. So now the balance, or amount she owes, is $-118. I hope this made sense.

Answer:

46

Step-by-step explanation:

[tex]f(x) = 10(3 - x) + 6 \\ f( - 1) = 10(3 - ( - 1)) + 6 \\ f( - 1) = 10(3 + 1) + 6 \\ f( - 1) = 10 \times 4 + 6 \\ f( - 1) = 40 + 6 \\ \huge \red{ \boxed{ f( - 1) = 46}} \\ [/tex]

Answer:

the first one is 2.3

Step-by-step explanation:

Answer:

19/6 or 3 and 1/6

Step-by-step explanation:

Answer:

There Is No Value For The Digit 0

Step-by-step explanation:

Answer:

you got it

a supplermentery angle forms a half circle

Given :

An infinite series :

[tex]a_1=26[/tex]

[tex]r=\dfrac{1}{2}[/tex]

To Find :

The sum of the infinite series .

Solution :

The sum of infinite series of G.P is given by :

[tex]S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52[/tex]

Therefore , the sum of the infinite series is 52 .

Hence , this is the required solution .

Answer:

c

Step-by-step explanation:

Answer:

the answer is its either 1/15 or 5/3=1 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need help too

Answer:

801

Step-by-step explanation:

When we distribute the 9, we simply multiply:

9 · 89 = 801

Answer:

x=172

Step-by-step explanation:

I hope this helps you

Answer:

8.5

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(17-9)x (3x2) /3

(17-9) = 8

(3x2) = 6

(8)(6)/3

(8x6) = 48

48/3 = 16

16 is your answer

Answer:

no, that is not an infinite solution

Step-by-step explanation:

an infinite solution is where a number equals a number and where x gets crossed out. the answer listed here is a solution :)

Answer:

Hi there

Your answer is:

13i

Step-by-step explanation:

Find the square root of √-169

We do i as coefficient to get rid of negatives

√169 is 13

Hope this helps